Find each limit if it exists sinx x1 ex1 1 b lim 2 x1

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: x2 1 √ dx 4 − x2 1 dx 4 − x2 0 ∞ 1 √ dx 3 x −∞ 2. Find each limit, (if it exists). sin(πx) x−1 ex−1 − 1 (b) lim 2 x→1 x − 1 ln x (c) lim √ x→∞ x (a) lim x→1 1 x (d) lim x sin x→∞ (e) lim x→0 x sin x cos x − 1 x2 + 1 − x (f) lim x→∞ (g) lim x→0 sin x cos x (h) lim x→∞ 1 x 1 x 1 (i) lim (cos x) x x→0+ 3. Use a comparison to determine whether the following integrals converge or diverge: ∞ (a) (b) (c) (d) x dx 1 + x3 1 2 + sin x √ dx x ∞ x dx 3 2 −1 x 2 ∞ sin2 x dx 1 + ex 0...
View Full Document

Ask a homework question - tutors are online